Add 24/75 and 45/21
1st number: 24/75, 2nd number: 2 3/21
24/75 + 45/21 is 431/175.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 21 is 525
Next, find the equivalent fraction of both fractional numbers with denominator 525 - For the 1st fraction, since 75 × 7 = 525,
24/75 = 24 × 7/75 × 7 = 168/525 - Likewise, for the 2nd fraction, since 21 × 25 = 525,
45/21 = 45 × 25/21 × 25 = 1125/525 - Add the two like fractions:
168/525 + 1125/525 = 168 + 1125/525 = 1293/525 - 1293/525 simplified gives 431/175
- So, 24/75 + 45/21 = 431/175
In mixed form: 281/175
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 48/75+45/21 24/75+90/21 24/75+45/42 72/75+45/21 24/75+45/63